We look at the division of 416976 by 97 
The aim is to understand the frequency of 97 in 416976.

Advancing to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 97

Moving on to step 2:
97 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 97

On to step 3:
When dividing 416 by 97, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 388 from 416 leaves us with 28.
Append the next digit (9) from the dividend to 28 and continue with: 289 / 97

Advancing to step 4:
When dividing 289 by 97, we get 2 with a remainder of 95.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
If we take 194 away from 289, we end up with 95.
Include the next digit (7) from the dividend after 95, then repeat: 957 / 97

Advancing to step 5:
If we divide 957 by 97, we get 9 and a remainder of 84.
Put 9 as the next digit of the answer. 
Result so far: 429.0
Deduct 873 from 957 and we're left with 84.
Take the next digit (6) from the dividend and append it to 84, then repeat: 846 / 97

Going ahead to step 6:
If we divide 846 by 97, we get 8 and a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 4298.0
If we take 776 away from 846, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 7:
97 goes into 700 7 times with a remainder of 21.
The next digit of our result is 7. 
Result so far: 4298.7
The remainder is 21 after subtracting 679 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
97 can be fit into 210 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 4298.72
Deduct 194 from 210 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
97 goes into 160 1 times with a remainder of 63.
Put 1 as the next digit of the answer. 
Result so far: 4298.721
If we take 97 away from 160, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 10:
The number 97 fits into 630 6 times, leaving a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 4298.7216
Deduct 582 from 630 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 11:
480 divided by 97 is 4 with a remainder of 92.
The next digit of our result is 4. 
Result so far: 4298.72164
If we subtract 388 from 480, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Step 12:
97 goes into 920 9 times with a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 4298.721649
Subtracting 873 from 920 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 13:
97 goes into 470 4 times with a remainder of 82.
Put 4 as the next digit of the answer. 
Result so far: 4298.7216494
Subtract 388 from 470 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 14:
97 goes into 820 8 times with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 4298.72164948
The remainder is 44 after subtracting 776 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 4298.72164948 with a balance of 4.4e-08.